How to Find GCF of 8333/242, 3458/8638?

GCF of 8333/242, 3458/8638

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8333/242, 3458/8638 i.e 13/1045198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8333/242, 3458/8638.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8333/242,3458/8638?

Given fractions are 8333/242,3458/8638

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8333/242,3458/8638, numerators are 8333,3458

Denominators are 242,8638

The GCF of 8333,3458 is 13 .

LCM of 242,8638 is 1045198.

The greatest common factor of 8333/242,3458/8638 = [GCF of 8333,3458]/[LCM of 242,8638]= 13/1045198

Therefore, the GCF of 8333/242,3458/8638 is 13/1045198.

Greatest Common Factor of 8333,3458

To find the highest common factor of 8333,3458, we have to find the factors of both numbers and list the highest common factor.

The factors of 8333 are 1, 13, 641, 8333

The factors of 3458 are 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458

The HCF of 8333,3458 is 13.

Lets's calculate GCF of 8333,3458

Greatest Common Factor (GCF) of 8333,3458 By Common Division

13	8333, 3458
	641, 266

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 8333,3458 By Matching Biggest Common Factor Method

Now, list down the factors of 8333

1,13,641,8333

Now, list down the factors of 3458

1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458

Greatest Common Factor

We found the factors 8333,3458 . The biggest common factor number is the GCF number.
So the greatest common factor 8333,3458 is 13.

Lets's calculate LCM of 242,8638

Lowest Common Multiple of 242,8638 using Common Division

2	242, 8638
	121, 4319

∴ So the LCM of the given numbers is 2 x 121 x 4319 = 1045198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1045198

Therefore, the GCF of Fractions 8333/242,3458/8638 is 13/1045198

Least Common Multiple of 242,8638 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 242,8638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,8638) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(242,8638) x common factors =2 x 1 = 2

LCM(242,8638) = ( 242 × 8638 ) / 2

LCM(242,8638) = 2090396 / 2

LCM(242,8638) = 1045198

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FAQs on GCF of Fractions of 8333/242, 3458/8638

1. What is the HCF of 8333,3458?

The HCF of 8333,3458 is 13

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 8333/242, 3458/8638?

Answer: GCF of Numerators as per given numbers 8333/242, 3458/8638 is

GCF of Numerators i.e. for 8333,3458 is 13

LCM of denominators i.e. for 242,8638 is 1045198.

Thus, GCF of Fractions is 13/1045198.Finally, GCF of Fractions for 8333/242, 3458/8638 is 13/1045198.